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Volumn 90, Issue 1, 2012, Pages 1-21

Novel boundary conditions for strain localization analyses in microstructural volume elements

Author keywords

Boundary conditions; Computational homogenization; Damage; Multi scale; Representative volume element (RVE); Solids

Indexed keywords

COMPUTATIONAL HOMOGENIZATION; DAMAGE; DAMAGE ANALYSIS; EFFECTIVE PROPERTY; EFFECTIVE STIFFNESS; ELASTO-PLASTIC; HIGHLY STRAINED; LOCALIZATION BANDS; MACROSCOPIC DEFORMATIONS; MACROSCOPIC MATERIALS; MICRO-STRUCTURAL; MULTI-SCALE; MULTI-SCALE MODELING; REPRESENTATIVE VOLUME ELEMENT (RVE); SIGNIFICANT IMPACTS; STRAIN LOCALIZATION ANALYSIS; STRAIN LOCALIZATIONS; VOLUME ELEMENTS;

EID: 80053522376     PISSN: 00295981     EISSN: 10970207     Source Type: Journal    
DOI: 10.1002/nme.3298     Document Type: Article
Times cited : (118)

References (50)
  • 3
    • 0036676697 scopus 로고    scopus 로고
    • Continuum micromechanics: survey
    • Zaoui A. Continuum micromechanics: survey. Journal of Engineering Mechanics 2002; 128:808-816.
    • (2002) Journal of Engineering Mechanics , vol.128 , pp. 808-816
    • Zaoui, A.1
  • 4
    • 0029423823 scopus 로고
    • Nonlinear homogenization method for practical applications
    • AMD-212/MD-62, Ghosh S, Ostoja-Starzewski M (eds). ASME
    • Terada K, Kikuchi N. Nonlinear homogenization method for practical applications. In Computational Methods in Micromechanics, Vol. AMD-212/MD-62, Ghosh S, Ostoja-Starzewski M (eds). ASME, 1995; 1-16.
    • (1995) Computational Methods in Micromechanics , pp. 1-16
    • Terada, K.1    Kikuchi, N.2
  • 5
    • 0029209453 scopus 로고
    • Multiple scale analysis of heterogeneous elastic structures using homogenisation theory and Voronoi cell finite element method
    • Ghosh S, Lee K, Moorthy S. Multiple scale analysis of heterogeneous elastic structures using homogenisation theory and Voronoi cell finite element method. International Journal of Solids and Structures 1995; 32:27-62.
    • (1995) International Journal of Solids and Structures , vol.32 , pp. 27-62
    • Ghosh, S.1    Lee, K.2    Moorthy, S.3
  • 7
    • 0032048952 scopus 로고    scopus 로고
    • A numerical method for computing the overall response of nonlinear composites with complex microstructure
    • Moulinec H, Suquet P. A numerical method for computing the overall response of nonlinear composites with complex microstructure. Computer Methods in Applied Mechanics and Engineering 1998; 157:69-94.
    • (1998) Computer Methods in Applied Mechanics and Engineering , vol.157 , pp. 69-94
    • Moulinec, H.1    Suquet, P.2
  • 8
    • 0033116492 scopus 로고    scopus 로고
    • Computational homogenization analysis in finite plasticity. Simulation of texture development in polycrystalline materials
    • Miehe C, Schröder J, Schotte J. Computational homogenization analysis in finite plasticity. Simulation of texture development in polycrystalline materials. Computer Methods in Applied Mechanics and Engineering 1999; 171:387-418.
    • (1999) Computer Methods in Applied Mechanics and Engineering , vol.171 , pp. 387-418
    • Miehe, C.1    Schröder, J.2    Schotte, J.3
  • 9
    • 0000516443 scopus 로고    scopus 로고
    • Computational micro-macro transitions and overall moduli in the analysis of polycrystals at large strains
    • Miehe C, Schotte J, Schröder J. Computational micro-macro transitions and overall moduli in the analysis of polycrystals at large strains. Computational Materials Science 1999; 16:372-382.
    • (1999) Computational Materials Science , vol.16 , pp. 372-382
    • Miehe, C.1    Schotte, J.2    Schröder, J.3
  • 10
  • 11
    • 0034677856 scopus 로고    scopus 로고
    • 2 multiscale approach for modelling the elastoviscoplastic behaviour of long fiber SiC/Ti composite materials
    • 2 multiscale approach for modelling the elastoviscoplastic behaviour of long fiber SiC/Ti composite materials. Computer Methods in Applied Mechanics and Engineering 2000; 183:309-330.
    • (2000) Computer Methods in Applied Mechanics and Engineering , vol.183 , pp. 309-330
    • Feyel, F.1    Chaboche, J.L.2
  • 12
  • 16
    • 8644290775 scopus 로고    scopus 로고
    • Multiscale second-order computational homogenization of multi-phase materials: a nested finite element solution strategy
    • Kouznetsova VG, Geers MGD, Brekelmans WAM. Multiscale second-order computational homogenization of multi-phase materials: a nested finite element solution strategy. Computer Methods in Applied Mechanics and Engineering 2004; 193:5525-5550.
    • (2004) Computer Methods in Applied Mechanics and Engineering , vol.193 , pp. 5525-5550
    • Kouznetsova, V.G.1    Geers, M.G.D.2    Brekelmans, W.A.M.3
  • 21
    • 55649101176 scopus 로고    scopus 로고
    • A multiscale contact homogenization technique for the modeling of third bodies in the contact interface
    • Temizer I, Wriggers P. A multiscale contact homogenization technique for the modeling of third bodies in the contact interface. Computer Methods in Applied Mechanics and Engineering 2008; 196:377-396.
    • (2008) Computer Methods in Applied Mechanics and Engineering , vol.196 , pp. 377-396
    • Temizer, I.1    Wriggers, P.2
  • 27
    • 0021433057 scopus 로고
    • On the macroscopic effects of heterogeneity in elastoplastic media at finite strain
    • Hill R. On the macroscopic effects of heterogeneity in elastoplastic media at finite strain. Mathematical Proceedings of the Cambridge Philosophical Society 1964; 95:481-494.
    • (1964) Mathematical Proceedings of the Cambridge Philosophical Society , vol.95 , pp. 481-494
    • Hill, R.1
  • 28
    • 0030128871 scopus 로고    scopus 로고
    • A micromechanics-based nonlocal constitutive equation and estimates of representative volume element size for elastic composites
    • Drugan W, Willis J. A micromechanics-based nonlocal constitutive equation and estimates of representative volume element size for elastic composites. Journal of the Mechanics and Physics of Solids 1996; 44:497-524.
    • (1996) Journal of the Mechanics and Physics of Solids , vol.44 , pp. 497-524
    • Drugan, W.1    Willis, J.2
  • 29
    • 0037146840 scopus 로고    scopus 로고
    • Strain-driven homogenization of inelastic microstructures and composites based on an incremental variational formulation
    • Miehe C. Strain-driven homogenization of inelastic microstructures and composites based on an incremental variational formulation. International Journal for Numerical Methods in Engineering 2002; 55:1285-1322.
    • (2002) International Journal for Numerical Methods in Engineering , vol.55 , pp. 1285-1322
    • Miehe, C.1
  • 30
  • 32
    • 0037644851 scopus 로고    scopus 로고
    • Determination of the size of the representative volume element for random composites: statistical and numerical approach
    • Kanit T, Forest S, Galliet I, Mounoury V, Jeulin D. Determination of the size of the representative volume element for random composites: statistical and numerical approach. International Journal of Solids and Structures 2003; 40:3647-3679.
    • (2003) International Journal of Solids and Structures , vol.40 , pp. 3647-3679
    • Kanit, T.1    Forest, S.2    Galliet, I.3    Mounoury, V.4    Jeulin, D.5
  • 33
    • 33747887299 scopus 로고    scopus 로고
    • Apparent and effective physical properties of heterogeneous materials: representativity of samples of two materials from food industry
    • Kanit T, N'Guyen F, Forest S, Jeulin D, Reed M, Singleton S. Apparent and effective physical properties of heterogeneous materials: representativity of samples of two materials from food industry. Computer Methods in Applied Mechanics and Engineering 2006; 195:3960-3982.
    • (2006) Computer Methods in Applied Mechanics and Engineering , vol.195 , pp. 3960-3982
    • Kanit, T.1    N'Guyen, F.2    Forest, S.3    Jeulin, D.4    Reed, M.5    Singleton, S.6
  • 35
    • 77956101209 scopus 로고    scopus 로고
    • Homogenization and two-scale simulations of granular materials for different microstructural constraints
    • Miehe C, Dettmar J, Zah D. Homogenization and two-scale simulations of granular materials for different microstructural constraints. International Journal for Numerical Methods in Engineering 2010; 83:1206-1236.
    • (2010) International Journal for Numerical Methods in Engineering , vol.83 , pp. 1206-1236
    • Miehe, C.1    Dettmar, J.2    Zah, D.3
  • 36
    • 74349122481 scopus 로고    scopus 로고
    • Elastoplastic modeling of circular fiber-reinforced ductile matrix composites considering a finite RVE
    • Kim B, Lee H. Elastoplastic modeling of circular fiber-reinforced ductile matrix composites considering a finite RVE. International Journal of Solids and Structures 2010; 47:827-836.
    • (2010) International Journal of Solids and Structures , vol.47 , pp. 827-836
    • Kim, B.1    Lee, H.2
  • 37
    • 70350070575 scopus 로고    scopus 로고
    • Micromechanical modeling of interface damage of metal matrix composites subjected to off-axis loading
    • Mahmoodi M, Aghdam M, Shakeri M. Micromechanical modeling of interface damage of metal matrix composites subjected to off-axis loading. Materials & Design 2010; 31:829-836.
    • (2010) Materials & Design , vol.31 , pp. 829-836
    • Mahmoodi, M.1    Aghdam, M.2    Shakeri, M.3
  • 38
    • 67849097338 scopus 로고    scopus 로고
    • Characterisation of formability behaviour of multiphase steels by micromechanical modelling
    • Uthaisangsuk V, Prahl U, Bleck W. Characterisation of formability behaviour of multiphase steels by micromechanical modelling. International Journal of Fracture 2009; 157:55-69.
    • (2009) International Journal of Fracture , vol.157 , pp. 55-69
    • Uthaisangsuk, V.1    Prahl, U.2    Bleck, W.3
  • 39
    • 67349115751 scopus 로고    scopus 로고
    • Homogenization-based continuum plasticity-damage model for ductile failure of materials containing heterogeneities
    • Ghosh S, Bai J, Paquet D. Homogenization-based continuum plasticity-damage model for ductile failure of materials containing heterogeneities. Journal of the Mechanics and Physics of Solids 2009; 57:1017-1044.
    • (2009) Journal of the Mechanics and Physics of Solids , vol.57 , pp. 1017-1044
    • Ghosh, S.1    Bai, J.2    Paquet, D.3
  • 40
    • 27744601799 scopus 로고    scopus 로고
    • Minimal kinematic boundary conditions for simulations of disordered microstructures
    • Mesarovic SD, Padbidri J. Minimal kinematic boundary conditions for simulations of disordered microstructures. Philosophical Magazine 2005; 85:65-78.
    • (2005) Philosophical Magazine , vol.85 , pp. 65-78
    • Mesarovic, S.D.1    Padbidri, J.2
  • 41
    • 52949147138 scopus 로고    scopus 로고
    • Boundary condition effects on multiscale analysis of damage localization
    • Inglis HM, Geubelle PH, Matouš K. Boundary condition effects on multiscale analysis of damage localization. Philosophical Magazine 2008; 88:2373-2397.
    • (2008) Philosophical Magazine , vol.88 , pp. 2373-2397
    • Inglis, H.M.1    Geubelle, P.H.2    Matouš, K.3
  • 42
    • 6544226089 scopus 로고
    • Elastic properties of reinforced solids: some theoretical principles
    • Hill R. Elastic properties of reinforced solids: some theoretical principles. Journal of the Mechanics and Physics of Solids 1963; 11:357-372.
    • (1963) Journal of the Mechanics and Physics of Solids , vol.11 , pp. 357-372
    • Hill, R.1
  • 44
    • 0001102937 scopus 로고
    • The localization of plastic deformation
    • Koiter WT (ed.). North-Holland Publishing Company: Amsterdam
    • Rice JR. The localization of plastic deformation. In Theoretical and Applied Mechanics, Koiter WT (ed.). North-Holland Publishing Company: Amsterdam, 1976; 207-220.
    • (1976) Theoretical and Applied Mechanics , pp. 207-220
    • Rice, J.R.1
  • 45
    • 0344208247 scopus 로고
    • On flutter instability in elastoplastic constitutive models
    • Bigoni D. On flutter instability in elastoplastic constitutive models. International Journal of Solids and Structures 1995; 32(21):3167-3189.
    • (1995) International Journal of Solids and Structures , vol.32 , Issue.21 , pp. 3167-3189
    • Bigoni, D.1
  • 46
    • 34250076312 scopus 로고
    • An analysis of strong discontinuities induced by strain-softening in rate independent inelastic solids
    • Simo JC, Oliver J, Armero F. An analysis of strong discontinuities induced by strain-softening in rate independent inelastic solids. Computational Mechanics 1993; 12:277-296.
    • (1993) Computational Mechanics , vol.12 , pp. 277-296
    • Simo, J.C.1    Oliver, J.2    Armero, F.3
  • 47
  • 48
    • 0037063629 scopus 로고    scopus 로고
    • Computational homogenization analysis in finite elasticity: material and structural instabilities on the micro- and macro-scales of periodic composites and their interaction
    • Miehe C, Schröder J, Becker M. Computational homogenization analysis in finite elasticity: material and structural instabilities on the micro- and macro-scales of periodic composites and their interaction. Computer Methods in Applied Mechanics and Engineering 2002; 191:4971-5005.
    • (2002) Computer Methods in Applied Mechanics and Engineering , vol.191 , pp. 4971-5005
    • Miehe, C.1    Schröder, J.2    Becker, M.3
  • 50
    • 84858297230 scopus 로고
    • Machine analysis of bubble chamber pictures. Proceedings of the International Conference on High Energy Accelerators and Instrumentation
    • Hough PVC. Machine analysis of bubble chamber pictures. Proceedings of the International Conference on High Energy Accelerators and Instrumentation, 1959.
    • (1959)
    • Hough, P.V.C.1


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